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Finding the Fourth Proportional to 8,249.42, 12,371.70 and 2,404.46

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Solution

The fourth proportional to 8,249.42, 12,371.70 and 2,404.46 is: 3,605.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,249.42 : 12,371.70 = 2,404.46 : x
  2. Step 2: Convert to fraction form
    8,249.42/12,371.70 = 2,404.46/x
  3. Step 3: Cross multiply
    8,249.42x = 12,371.70 × 2,404.46
  4. Step 4: Simplify right side
    8,249.42x = 29,747,257.78
  5. Step 5: Solve for x
    x = 29,747,257.78/8,249.42
  6. Step 6: Final answer
    x = 3,605.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.